What is the value of y in the solution to the system of equations? 1 third x plus 1 fourth y is equal to 1 2 x minus 3 y is equal to negative 30

Multiply the first equation, x/3 + y/4 = 1, by 12 to get 4x + 3y = 12. Add this to 2x − 3y = −30; the y-terms cancel, giving 6x = −18, so x = −3. Substituting into 4x + 3y = 12 gives −12 + 3y = 12, so y = 8. The correct choice is C, 8.

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